Find the value of m for which the quadratic equation

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Why is the restriction a! The simplest method of solving a quadratic equation, but one that is not always easily applied, is by factoring. This method depends on the following property. The next example shows how the zero-factor property is used to solve a quadratic equation. Check these solutions by substituting in the original equation.

Find the value of m for which the quadratic equation

The term "quadratic" comes from the Latin word "quadratus" meaning square, which refers to the fact that the variable x is squared in the equation. Did you know that when a rocket is launched, its path is described by a quadratic equation? Further, a quadratic equation has numerous applications in physics, engineering, astronomy, etc. Quadratic equations have maximum of two solutions, which can be real or complex numbers. We shall learn more about the roots of a quadratic equation in the below content. A quadratic equation is an algebraic equation of the second degree in x. For writing a quadratic equation in standard form, the x 2 term is written first, followed by the x term, and finally, the constant term is written. All of these equations need to be transformed into standard form of the quadratic equation before performing further operations. The roots of a quadratic equation are the two values of x, which are obtained by solving the quadratic equation. These roots of the quadratic equation are also called the zeros of the equation. There are various methods to find the roots of a quadratic equation.

CG Vyapam SI. Topic: Polynomials.

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If you're seeing this message, it means we're having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Search for courses, skills, and videos. More on completing the square. What you should be familiar with before taking this lesson. Solving quadratic equations by taking the square root. Solving quadratic equations by factoring. So far, you've either solved quadratic equations by taking the square root or by factoring.

Find the value of m for which the quadratic equation

Last Updated: February 10, Fact Checked. This article was co-authored by David Jia. With over 10 years of teaching experience, David works with students of all ages and grades in various subjects, as well as college admissions counseling and test preparation for the SAT, ACT, ISEE, and more. There are 9 references cited in this article, which can be found at the bottom of the page.

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Rajasthan Teacher. Rajasthan SET. Trusted by 5. The result will be a general formula for solving any quadratic equation. Example 1. On the return trip downstream, the boat traveled 3 miles per hour faster. Indian Bank Security Guard. FCI JE. See Figure 2. The quadratic equation can also be formed for the given roots of the equation. CG Vyapam SI.

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Other Govt. MAH B. FCI Manager. Telangana High Court Junior Assistant. Maharashtra Arogya Vibhag Group C. Quadratic Formula 4. Bihar AMIN. AMD Security Guard. Important Exams. LIC Assistant. Assam Police Jail Warder. ICAR Assistant. Bihar Elementary Teacher.